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Finding the Third Proportional to 58,920.38 and 127,178.25

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Solution

The third proportional to 58,920.38 and 127,178.25 is: 274,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,920.38 : 127,178.25 = 127,178.25 : x
  2. Step 2: Convert to fraction form
    58,920.38/127,178.25 = 127,178.25/x
  3. Step 3: Cross multiply
    58,920.38x = 127,178.25 × 127,178.25
  4. Step 4: Simplify right side
    58,920.38x = 16,174,307,273.06
  5. Step 5: Solve for x
    x = 16,174,307,273.06/58,920.38
  6. Step 6: Final answer
    x = 274,511.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.